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Finding the Third Proportional to 169,381 and 247,710

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Solution

The third proportional to 169,381 and 247,710 is: 362,261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,381 : 247,710 = 247,710 : x
  2. Step 2: Convert to fraction form
    169,381/247,710 = 247,710/x
  3. Step 3: Cross multiply
    169,381x = 247,710 × 247,710
  4. Step 4: Simplify right side
    169,381x = 61,360,244,100
  5. Step 5: Solve for x
    x = 61,360,244,100/169,381
  6. Step 6: Final answer
    x = 362,261.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.